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Build a rectangular pen with three parallel partitions using 500 feet of fencing. What dimensions will maximize the total area of the pen ?
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Find the point (x, y) on the graph of nearest the point (4, 0).
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If Seneca decides to walk across town to a store that is .95 kilometers away and she has only 25 minutes to get there, what speed does she need to maintain to arrive on time?
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If a projectile flies north 387 meters in 5.8 seconds, what is its velocity?
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What is the speed of a horse in meters per second that runs a distance of 1.2 miles in 2.4 minutes?
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The length of a Rectangle is 4 times the Width. The perimeter is 90cm. find the width and length?
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Provide a system of TWO equations in slope-intercept form with infinitely many solutions. Using complete sentences, explain why this system has infinitely many solutions?
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Provide a system of TWO equations in slope-intercept form with no solutions. Using complete sentences, explain why this system has no solutions?
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Provide a system of TWO equations in slope-intercept form, with only one solution. Using complete sentences, explain why this system has one solution?
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The area of a rectangle is 120 in^2 and the perimeter is 46in . Set up and solve a system of two equations and two unknowns. Find the difference of length minus width.
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Find the intercepts of the ellipse 16x^2+9y^2=144
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A semi-elliptical arch is 40 feet wide and 10 feet high. Find its height 5 feet from the middle. Round to the nearest hundredth.
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Complete the square to find the center and radius of the circle x^2+y^2+6x-8y+20=0
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Find the equation of the circle with center (2, 3) and goes through (8, 11).
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Find the line of symmetry of the parabola y+5=2x(x-3)
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What is the slope of a line that is parallel to the graph of 2x + 3y = 5?
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A surveyor, standing 30 ft. from the base of a building, measures the angle of elevation...
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A traffic engineer calculates the speed of vehicles as they pass a traffic light. While the light is green...
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Is there a 2-by-2 matrix A and a 2-vector b such that Ax = b has exactly two solutions? Why or why not?
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